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Finding the Fourth Proportional to 27,598.70, 41,385.60 and 7,872.56

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Solution

The fourth proportional to 27,598.70, 41,385.60 and 7,872.56 is: 11,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.70 : 41,385.60 = 7,872.56 : x
  2. Step 2: Convert to fraction form
    27,598.70/41,385.60 = 7,872.56/x
  3. Step 3: Cross multiply
    27,598.70x = 41,385.60 × 7,872.56
  4. Step 4: Simplify right side
    27,598.70x = 325,810,619.14
  5. Step 5: Solve for x
    x = 325,810,619.14/27,598.70
  6. Step 6: Final answer
    x = 11,805.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.